0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n175.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:35:09 CST 2018
10.33/10.54	% done 4748 iterations in 10.334s
10.33/10.54	% SZS status Theorem for 'stdin'
10.33/10.54	% SZS output start Refutation
10.33/10.54	tff(zf_stmt_8, conjecture,
10.33/10.54	  (((![Xx]:
10.33/10.54	       app_encode_app($i,$o,
10.33/10.54	                      app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                     app_encode_app($i,
10.33/10.54	                                                    app_encode_fun($i,
10.33/10.54	                                                                   app_encode_fun(
10.33/10.54	                                                                   $i,$o)),
10.33/10.54	                                                    cP,e),
10.33/10.54	                                     Xx),
10.33/10.54	                      Xx)) & 
10.33/10.54	    (![Xy]:
10.33/10.54	       app_encode_app($i,$o,
10.33/10.54	                      app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                     app_encode_app($i,
10.33/10.54	                                                    app_encode_fun($i,
10.33/10.54	                                                                   app_encode_fun(
10.33/10.54	                                                                   $i,$o)),
10.33/10.54	                                                    cP,Xy),
10.33/10.54	                                     e),
10.33/10.54	                      Xy)) & 
10.33/10.54	    (![Xz]:
10.33/10.54	       app_encode_app($i,$o,
10.33/10.54	                      app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                     app_encode_app($i,
10.33/10.54	                                                    app_encode_fun($i,
10.33/10.54	                                                                   app_encode_fun(
10.33/10.54	                                                                   $i,$o)),
10.33/10.54	                                                    cP,Xz),
10.33/10.54	                                     Xz),
10.33/10.54	                      e)) & 
10.33/10.54	    (![Xx,Xy,Xz,Xxy,Xyz,Xxyz]:
10.33/10.54	       ((app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xx),
10.33/10.54	                                       Xy),
10.33/10.54	                        Xxy) & 
10.33/10.54	         app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xy),
10.33/10.54	                                       Xz),
10.33/10.54	                        Xyz)) =>
10.33/10.54	        (app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xxy),
10.33/10.54	                                       Xz),
10.33/10.54	                        Xxyz) <=>
10.33/10.54	         app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xx),
10.33/10.54	                                       Xyz),
10.33/10.54	                        Xxyz))))) =>
10.33/10.54	   (app_encode_app($i,$o,
10.33/10.54	                   app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                  app_encode_app($i,
10.33/10.54	                                                 app_encode_fun($i,
10.33/10.54	                                                                app_encode_fun(
10.33/10.54	                                                                $i,$o)),
10.33/10.54	                                                 cP,a),
10.33/10.54	                                  b),
10.33/10.54	                   ab) =>
10.33/10.54	    app_encode_app($i,$o,
10.33/10.54	                   app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                  app_encode_app($i,
10.33/10.54	                                                 app_encode_fun($i,
10.33/10.54	                                                                app_encode_fun(
10.33/10.54	                                                                $i,$o)),
10.33/10.54	                                                 cP,b),
10.33/10.54	                                  a),
10.33/10.54	                   ab)))).
10.33/10.54	tff(zf_stmt_0, negated_conjecture,
10.33/10.54	  (~
10.33/10.54	    (((![Xx]:
10.33/10.54	         app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,e),
10.33/10.54	                                       Xx),
10.33/10.54	                        Xx)) & 
10.33/10.54	      (![Xy]:
10.33/10.54	         app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xy),
10.33/10.54	                                       e),
10.33/10.54	                        Xy)) & 
10.33/10.54	      (![Xz]:
10.33/10.54	         app_encode_app($i,$o,
10.33/10.54	                        app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                       app_encode_app($i,
10.33/10.54	                                                      app_encode_fun(
10.33/10.54	                                                      $i,
10.33/10.54	                                                      app_encode_fun($i,$o)),
10.33/10.54	                                                      cP,Xz),
10.33/10.54	                                       Xz),
10.33/10.54	                        e)) & 
10.33/10.54	      (![Xx,Xy,Xz,Xxy,Xyz,Xxyz]:
10.33/10.54	         ((app_encode_app($i,$o,
10.33/10.54	                          app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                         app_encode_app($i,
10.33/10.54	                                                        app_encode_fun(
10.33/10.54	                                                        $i,
10.33/10.54	                                                        app_encode_fun($i,$o)),
10.33/10.54	                                                        cP,Xx),
10.33/10.54	                                         Xy),
10.33/10.54	                          Xxy) & 
10.33/10.54	           app_encode_app($i,$o,
10.33/10.54	                          app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                         app_encode_app($i,
10.33/10.54	                                                        app_encode_fun(
10.33/10.54	                                                        $i,
10.33/10.54	                                                        app_encode_fun($i,$o)),
10.33/10.54	                                                        cP,Xy),
10.33/10.54	                                         Xz),
10.33/10.54	                          Xyz)) =>
10.33/10.54	          (app_encode_app($i,$o,
10.33/10.54	                          app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                         app_encode_app($i,
10.33/10.54	                                                        app_encode_fun(
10.33/10.54	                                                        $i,
10.33/10.54	                                                        app_encode_fun($i,$o)),
10.33/10.54	                                                        cP,Xxy),
10.33/10.54	                                         Xz),
10.33/10.54	                          Xxyz) <=>
10.33/10.54	           app_encode_app($i,$o,
10.33/10.54	                          app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                         app_encode_app($i,
10.33/10.54	                                                        app_encode_fun(
10.33/10.54	                                                        $i,
10.33/10.54	                                                        app_encode_fun($i,$o)),
10.33/10.54	                                                        cP,Xx),
10.33/10.54	                                         Xyz),
10.33/10.54	                          Xxyz))))) =>
10.33/10.54	     (app_encode_app($i,$o,
10.33/10.54	                     app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                    app_encode_app($i,
10.33/10.54	                                                   app_encode_fun($i,
10.33/10.54	                                                                  app_encode_fun(
10.33/10.54	                                                                  $i,$o)),
10.33/10.54	                                                   cP,a),
10.33/10.54	                                    b),
10.33/10.54	                     ab) =>
10.33/10.54	      app_encode_app($i,$o,
10.33/10.54	                     app_encode_app($i,app_encode_fun($i,$o),
10.33/10.54	                                    app_encode_app($i,
10.33/10.54	                                                   app_encode_fun($i,
10.33/10.54	                                                                  app_encode_fun(
10.33/10.54	                                                                  $i,$o)),
10.33/10.54	                                                   cP,b),
10.33/10.54	                                    a),
10.33/10.54	                     ab))))).
10.33/10.54	tff('0', plain,
10.33/10.54	    ![X5]:
10.33/10.54	      app_encode_app($i, $o, 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
10.33/10.54	            X5), e), X5),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('1', plain,
10.33/10.54	    ![X6]:
10.33/10.54	      app_encode_app($i, $o, 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
10.33/10.54	            X6), X6), e),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('2', plain,
10.33/10.54	    ![X4]:
10.33/10.54	      app_encode_app($i, $o, 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
10.33/10.54	            e), X4), X4),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('3', plain,
10.33/10.54	    app_encode_app($i, $o, 
10.33/10.54	      app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, a), 
10.33/10.54	        b), ab),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('4', plain,
10.33/10.54	    ![X7, X8, X9, X10, X11, X12]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X7), X8), X9)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X10), X7), 
10.33/10.54	             X11)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X10), X9), X12)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X11), X8), 
10.33/10.54	             X12)),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('5', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), a), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['3', '4'])).
10.33/10.54	tff('6', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), a), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['5'])).
10.33/10.54	tff('7', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), b), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), ab), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '6'])).
10.33/10.54	tff('8', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), b), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['7'])).
10.33/10.54	tff('9', plain,
10.33/10.54	    (~ $true
10.33/10.54	     | app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), ab), b)),
10.33/10.54	    inference('sup-', [status(thm)], ['2', '8'])).
10.33/10.54	tff('10', plain,
10.33/10.54	    app_encode_app($i, $o, 
10.33/10.54	      app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, a), 
10.33/10.54	        ab), b),
10.33/10.54	    inference('simplify', [status(thm)], ['9'])).
10.33/10.54	tff('11', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), ab), 
10.33/10.54	             X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), b), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), a), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['10', '4'])).
10.33/10.54	tff('12', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), a), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), b), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), ab), 
10.33/10.54	             X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['11'])).
10.33/10.54	tff('13', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), b), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '12'])).
10.33/10.54	tff('14', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), b), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['13'])).
10.33/10.54	tff('15', plain,
10.33/10.54	    ![X7, X8, X9, X10, X11, X12]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X7), X8), X9)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X10), X7), 
10.33/10.54	             X11)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X11), X8), X12)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X10), X9), 
10.33/10.54	             X12)),
10.33/10.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.54	tff('16', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
10.33/10.54	             X3)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '15'])).
10.33/10.54	tff('17', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X2), X0), X3)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['16'])).
10.33/10.54	tff('18', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X0), b), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['14', '17'])).
10.33/10.54	tff('19', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, X0), b), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['18'])).
10.33/10.54	tff('20', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, e), b), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['2', '12'])).
10.33/10.54	tff('21', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, e), b), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['20'])).
10.33/10.54	tff('22', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
10.33/10.54	             X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X0), 
10.33/10.54	             X2)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '4'])).
10.33/10.54	tff('23', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X2)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
10.33/10.54	             X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['22'])).
10.33/10.54	tff('24', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), X0), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X0), e), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '23'])).
10.33/10.54	tff('25', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, X0), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), X0), X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['24'])).
10.33/10.54	tff('26', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), e), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['21', '25'])).
10.33/10.54	tff('27', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['26'])).
10.33/10.54	tff('28', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
10.33/10.54	             X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), e), X2)),
10.33/10.54	    inference('sup-', [status(thm)], ['2', '4'])).
10.33/10.54	tff('29', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), e), X2)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
10.33/10.54	             X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['28'])).
10.33/10.54	tff('30', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), X2), 
10.33/10.54	             X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), X2), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['27', '29'])).
10.33/10.54	tff('31', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), X2), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), X2), 
10.33/10.54	             X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['30'])).
10.33/10.54	tff('32', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), X0), e)),
10.33/10.54	    inference('sup-', [status(thm)], ['1', '31'])).
10.33/10.54	tff('33', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), X0), e)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['32'])).
10.33/10.54	tff('34', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X0), 
10.33/10.54	             X2)),
10.33/10.54	    inference('sup-', [status(thm)], ['0', '4'])).
10.33/10.54	tff('35', plain,
10.33/10.54	    ![X0, X1, X2, X3]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X2)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X3), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['34'])).
10.33/10.54	tff('36', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), X0), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['33', '35'])).
10.33/10.54	tff('37', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), X0), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['36'])).
10.33/10.54	tff('38', plain,
10.33/10.54	    ![X0, X1, X2, X3, X4]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X1), 
10.33/10.54	             X2)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X4), X0), X2)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X4), b), X3)),
10.33/10.54	    inference('sup-', [status(thm)], ['37', '4'])).
10.33/10.54	tff('39', plain,
10.33/10.54	    ![X0, X1, X2, X3, X4]:
10.33/10.54	      (~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X4), b), X3)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, X4), X0), X2)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X1), 
10.33/10.54	             X2)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X1)),
10.33/10.54	    inference('simplify', [status(thm)], ['38'])).
10.33/10.54	tff('40', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, ab), X0), 
10.33/10.54	             X2)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), X1), X2)),
10.33/10.54	    inference('sup-', [status(thm)], ['3', '39'])).
10.33/10.54	tff('41', plain,
10.33/10.54	    ![X0, X1, X2]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), X1), X2)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, ab), X0), 
10.33/10.54	             X2)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['40'])).
10.33/10.54	tff('42', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), ab)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), b)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), X1), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['19', '41'])).
10.33/10.54	tff('43', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | ~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), X1), X0)),
10.33/10.54	    inference('demod', [status(thm)], ['42', '2', '10'])).
10.33/10.54	tff('44', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), X1), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['43'])).
10.33/10.54	tff('45', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), X0), a)),
10.33/10.54	    inference('sup-', [status(thm)], ['0', '44'])).
10.33/10.54	tff('46', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, a), X0), a)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['45'])).
10.33/10.54	tff('47', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), ab), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['10', '17'])).
10.33/10.54	tff('48', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), ab), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['47'])).
10.33/10.54	tff('49', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, b), ab), X1)),
10.33/10.54	    inference('sup-', [status(thm)], ['48', '35'])).
10.33/10.54	tff('50', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), ab), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['49'])).
10.33/10.54	tff('51', plain,
10.33/10.54	    (~ $true
10.33/10.54	     | ~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, e), e), e)
10.33/10.54	     | ~ app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, a), e), a)
10.33/10.54	     | app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), ab), a)),
10.33/10.54	    inference('sup-', [status(thm)], ['46', '50'])).
10.33/10.54	tff('52', plain,
10.33/10.54	    (~ $true
10.33/10.54	     | ~ $true
10.33/10.54	     | ~ $true
10.33/10.54	     | app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, b), ab), a)),
10.33/10.54	    inference('demod', [status(thm)], ['51', '2', '0'])).
10.33/10.54	tff('53', plain,
10.33/10.54	    app_encode_app($i, $o, 
10.33/10.54	      app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, b), 
10.33/10.54	        ab), a),
10.33/10.54	    inference('simplify', [status(thm)], ['52'])).
10.33/10.54	tff('54', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	               cP, ab), b), X0)),
10.33/10.54	    inference('sup-', [status(thm)], ['3', '17'])).
10.33/10.54	tff('55', plain,
10.33/10.54	    ![X0]:
10.33/10.54	      (app_encode_app($i, $o, 
10.33/10.54	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.54	             cP, ab), b), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
10.33/10.54	    inference('simplify', [status(thm)], ['54'])).
10.33/10.54	tff('56', plain,
10.33/10.54	    ![X0, X1]:
10.33/10.54	      (~ $true
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
10.33/10.54	       | ~ app_encode_app($i, $o, 
10.33/10.54	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.54	               app_encode_app($i, 
10.33/10.54	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
10.33/10.54	       | app_encode_app($i, $o, 
10.33/10.54	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, ab), b), X1)),
10.33/10.55	    inference('sup-', [status(thm)], ['55', '35'])).
10.33/10.55	tff('57', plain,
10.33/10.55	    ![X0, X1]:
10.33/10.55	      (app_encode_app($i, $o, 
10.33/10.55	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	             cP, ab), b), X1)
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
10.33/10.55	    inference('simplify', [status(thm)], ['56'])).
10.33/10.55	tff('58', plain,
10.33/10.55	    (~ $true
10.33/10.55	     | ~ app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, e), e), e)
10.33/10.55	     | ~ app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, a), e), a)
10.33/10.55	     | app_encode_app($i, $o, 
10.33/10.55	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	             cP, ab), b), a)),
10.33/10.55	    inference('sup-', [status(thm)], ['46', '57'])).
10.33/10.55	tff('59', plain,
10.33/10.55	    (~ $true
10.33/10.55	     | ~ $true
10.33/10.55	     | ~ $true
10.33/10.55	     | app_encode_app($i, $o, 
10.33/10.55	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	             cP, ab), b), a)),
10.33/10.55	    inference('demod', [status(thm)], ['58', '2', '0'])).
10.33/10.55	tff('60', plain,
10.33/10.55	    app_encode_app($i, $o, 
10.33/10.55	      app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
10.33/10.55	          ab), b), a),
10.33/10.55	    inference('simplify', [status(thm)], ['59'])).
10.33/10.55	tff('61', plain,
10.33/10.55	    ![X0, X1, X2]:
10.33/10.55	      (~ $true
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)
10.33/10.55	       | app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, X2), a), X0)
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), ab), 
10.33/10.55	             X1)),
10.33/10.55	    inference('sup-', [status(thm)], ['60', '4'])).
10.33/10.55	tff('62', plain,
10.33/10.55	    ![X0, X1, X2]:
10.33/10.55	      (~ app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, X2), ab), X1)
10.33/10.55	       | app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, X2), a), X0)
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)),
10.33/10.55	    inference('simplify', [status(thm)], ['61'])).
10.33/10.55	tff('63', plain,
10.33/10.55	    ![X0]:
10.33/10.55	      (~ $true
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), b), X0)
10.33/10.55	       | app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, b), a), X0)),
10.33/10.55	    inference('sup-', [status(thm)], ['53', '62'])).
10.33/10.55	tff('64', plain,
10.33/10.55	    ![X0]:
10.33/10.55	      (app_encode_app($i, $o, 
10.33/10.55	         app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	             cP, b), a), X0)
10.33/10.55	       | ~ app_encode_app($i, $o, 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	               app_encode_app($i, 
10.33/10.55	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), b), X0)),
10.33/10.55	    inference('simplify', [status(thm)], ['63'])).
10.33/10.55	tff('65', plain,
10.33/10.55	    ~ app_encode_app($i, $o, 
10.33/10.55	        app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
10.33/10.55	            b), a), ab),
10.33/10.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.33/10.55	tff('66', plain,
10.33/10.55	    (~ $true
10.33/10.55	     | ~ app_encode_app($i, $o, 
10.33/10.55	           app_encode_app($i, app_encode_fun($i, $o), 
10.33/10.55	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
10.33/10.55	               cP, a), b), ab)),
10.33/10.55	    inference('sup-', [status(thm)], ['64', '65'])).
10.33/10.55	tff('67', plain, (~ $true | ~ $true),
10.33/10.55	    inference('demod', [status(thm)], ['66', '3'])).
10.33/10.55	tff('68', plain, $false, inference('simplify', [status(thm)], ['67'])).
10.33/10.55	
10.33/10.55	% SZS output end Refutation
10.33/10.55	EOF
